Convex Analysis and Minimization Algorithms : Advanced Theory and Bundle Methods  Part 2

By (author) Hiriart-Urruty, Jean-Baptiste; By (author) Lemarechal, Claude

From the reviews: "The account is quite detailed and is written in a manner that will appeal to analysts and numerical practitioners alike...they contain everything from rigorous proofs to tables of numerical calculations...one of the strong features of these books...that they are designed not for the expert, but for those who whish to learn the subject matter starting from little or no background...there are numerous examples, and counter-examples, to back up the theory...To my knowledge, no other authors have given such a clear geometric account of convex analysis." "This innovative text is well written, copiously illustrated, and accessible to a wide audience"

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[目次]

  • IX. Inner Construction of the Subdifferential.- X. Conjugacy in Convex Analysis.- XI. Approximate Subdifferentials of Convex Functions.- XII. Abstract Duality for Practitioners.- XIII. Methods of ?-Descent.- XIV. Dynamic Construction of Approximate Subdifferentials: Dual Form of Bundle Methods.- XV. Acceleration of the Cutting-Plane Algorithm: Primal Forms of Bundle Methods.- Bibliographical Comments.- References.

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この本の情報

書名 Convex Analysis and Minimization Algorithms : Advanced Theory and Bundle Methods
著作者等 Lemarechal, Claude
Hiriart-Urruty, Jean-Baptiste
書名別名 Advanced Theory and Bundle Methods Advanced Theory and Bundle Methods Part 2
シリーズ名 Die Grundlehren der Mathematischen Wissenschaften 306
巻冊次 Part 2
出版元 Springer-Verlag Berlin and Heidelberg GmbH & Co. K
刊行年月 2010.12.01
版表示 1st ed. Softcover of orig. ed. 1993
ページ数 366p
大きさ H234 x W156
ISBN 9783642081620
言語 英語
出版国 ドイツ
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